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Fractals in Biology and Medicine

  • Gabriele A. Losa
  • Danilo Merlini
  • Theo F. Nonnenmacher
  • Ewald R. Weibel

Part of the Mathematics and Biosciences in Interaction book series (MBI)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Fractal Structures in Biological Systems

    1. Chen Hou, Stefan Gheorghiu, Marc-Olivier Coppens, Virginia H. Huxley, Peter Pfeifer
      Pages 17-30
    2. S. Gheorghiu, S. Kjelstrup, P. Pfeifer3, M.-O. Coppens
      Pages 31-42
    3. Horst K. Hahn, Manfred Georg, Heinz-Otto Peitgen
      Pages 55-66
    4. Martin Baatz, Arno Schäpe, Günter Schmidt, Maria Athelogou, Gerd Binnig
      Pages 67-73
    5. G. A. Losa, V. Peretti, F. Ciotola, N. Cocchia, G. De Vico
      Pages 75-82
  3. Fractal Structures in Neurosciences

    1. H.F. Jelinek, N. Elston, B. Zietsch
      Pages 85-94
    2. Joydeep Bhattacharya, Jessica Edwards, Adam Mamelak, Erin M. Schuamn
      Pages 95-106
    3. M. Latka, M. Turalska, D. Kolodziej, D. Latka, B. Goldstein, B.J. West
      Pages 121-129
    4. Bruce J. West, Nicola Scafetta
      Pages 131-140
    5. Zbigniew R. Struzik, Junichiro Hayano, Seiichiro Sakata, Shin Kwak, Yoshiharu Yamamoto
      Pages 141-151
  4. Fractal Structures in Tumours and Diseases

    1. G. Bianciardi, C. De Felice, R. Cattaneo, S. Parrini, A. Monaco, G. Latini
      Pages 187-192
    2. G. De Vico, M. Cataldi, P. Maiolino, S. Beltraminelli, G.A. Losa
      Pages 203-207
    3. E. Oczeretko, A. Kitlas, J. Swiatecka, M. Borowska, T. Laudanski
      Pages 215-222
    4. Fabio Grizzi, Carlo Russo, Ingrid Torres-Munoz, Barbara Franceschini, Paolo Vinciguerra, Nicola Dioguardi
      Pages 223-230
  5. The Fractal Paradigm

  6. Back Matter
    Pages 309-314

About these proceedings

Introduction

This volume is number four in a series of proceedings volumes from the International Symposia on Fractals in Biology and Medicine in Ascona, Switzerland which have been inspired by the work of Benoît Mandelbrot seeking to extend the concepts towards the life sciences. It highlights the potential that fractal geometry offers for elucidating and explaining the complex make-up of cells, tissues and biological organisms either in normal or in pathological conditions, including the structural changes that occur in tumours. It helps develop the concepts, questions and methods required in research on fractal biology and natural phenomena and to evidence the pitfalls of a too simplistic application of these principles in investigating topical subjects of biology and medicine. It discusses present and future applications of fractal geometry, bringing together cellular and molecular biology, engineering, mathematics, physics, medicine and other disciplines and allowing an interdisciplinary vision. The book should be of interest to researchers and students from molecular and cell biology, biomedicine, biomathematics, analytical morphology, immunology and neurology who are interested in the combination of mathematics and life sciences.

Keywords

3D graphics Dynamics Fractals biology image analysis life sciences medical image analysis model modeling nonlinear dynamics topology

Editors and affiliations

  • Gabriele A. Losa
    • 1
    • 2
  • Danilo Merlini
    • 3
  • Theo F. Nonnenmacher
    • 4
  • Ewald R. Weibel
    • 5
  1. 1.Institute for Scientific Interdisciplinary Studies (ISSI)Locarno
  2. 2.Faculty of Biology and MedicineUniversity of LausanneLausanne
  3. 3.Research Center for Physics and MathematicsLocarno
  4. 4.Department of Mathematical PhysicsUniversity of UlmUlm
  5. 5.Institute of AnatomyUniversity of BerneBern 9

Bibliographic information